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Allowable Bending Stress given Plate Thickness Formula

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Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure. Check FAQs

F b = {(\frac{((\frac{1}{2}) \cdot B - k) \cdot \sqrt{3 \cdot f p}}{t})}^{2}

F_b - Allowable Bending Stress?B - Width of Plate?k - Distance from Beam Bottom to Web Fillet?f_p - Actual Bearing Pressure?t - Minimum Plate Thickness?

Allowable Bending Stress given Plate Thickness Example

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Here is how the Allowable Bending Stress given Plate Thickness equation looks like with Values.

Here is how the Allowable Bending Stress given Plate Thickness equation looks like with Units.

Here is how the Allowable Bending Stress given Plate Thickness equation looks like.

2.9297 = {(\frac{((\frac{1}{2}) \cdot 150 - 70) \cdot \sqrt{3 \cdot 10}}{16})}^{2}

2.9297MPa = {(\frac{((\frac{1}{2}) \cdot 150mm - 70mm) \cdot \sqrt{3 \cdot 10MPa}}{16mm})}^{2}

2.9297 = {(\frac{((\frac{1}{2}) \cdot 150 - 70) \cdot \sqrt{3 \cdot 10}}{16})}^{2}

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Allowable Bending Stress given Plate Thickness Solution

Follow our step by step solution on how to calculate Allowable Bending Stress given Plate Thickness?

FIRST Step Consider the formula

F b = {(\frac{((\frac{1}{2}) \cdot B - k) \cdot \sqrt{3 \cdot f p}}{t})}^{2}

Next Step Substitute values of Variables

∴

F b = {(\frac{((\frac{1}{2}) \cdot 150mm - 70mm) \cdot \sqrt{3 \cdot 10MPa}}{16mm})}^{2}

Next Step Convert Units

∴

F b = {(\frac{((\frac{1}{2}) \cdot 0.15m - 0.07m) \cdot \sqrt{3 \cdot 1E+7Pa}}{0.016m})}^{2}

Next Step Prepare to Evaluate

∴

F b = {(\frac{((\frac{1}{2}) \cdot 0.15 - 0.07) \cdot \sqrt{3 \cdot 1E+7}}{0.016})}^{2}

Next Step Evaluate

∴

F b = 2929687.49999999Pa

Next Step Convert to Output's Unit

∴

F b = 2.92968749999999MPa

LAST Step Rounding Answer

∴

F b = 2.9297MPa

Allowable Bending Stress given Plate Thickness Formula Elements

Variables

Functions

Allowable Bending Stress

Allowable Bending Stress is the maximum bending stress that can be applied to a material or a structural element without causing failure.

Symbol: F_b

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Bending Stress

Width of Plate

Width of Plate is one of the surface dimensions of a flat, solid plate, typically measured in millimeters or inches. It is one of the larger surface dimensions, while thickness is smaller dimension.

Symbol: B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Plate

Distance from Beam Bottom to Web Fillet

Distance from Beam Bottom to Web Fillet is the distance from the outer face of the flange (the bottom of the beam) to the web toe of the fillet.

Symbol: k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Beam Bottom to Web Fillet

Actual Bearing Pressure

Actual Bearing Pressure is the exact bearing capacity of the given structure, in simple words it is the ratio of the applied load to the contact area.

Symbol: f_p

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Actual Bearing Pressure

Minimum Plate Thickness

Minimum Plate Thickness is the distance between the top and bottom surfaces of a flat, solid plate. This distance is typically measured in millimeters or inches.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Minimum Plate Thickness

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Bearing Plates category

Go Bearing Plate Area for Full Concrete Area Support

A 1 = \frac{R}{0.35 \cdot f c'}

Go Bearing Plate Area for Less than Full Concrete Area

A 1 = {(\frac{R}{0.35 \cdot f c' \cdot \sqrt{A 2}})}^{2}

Go Beam Reaction given Area Required by Bearing Plate

R = A 1 \cdot 0.35 \cdot f c'

Go Actual Bearing Pressure under Plate

f p = \frac{R}{B \cdot N}

How to Evaluate Allowable Bending Stress given Plate Thickness?

Allowable Bending Stress given Plate Thickness evaluator uses Allowable Bending Stress = ((((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure))/Minimum Plate Thickness)^2 to evaluate the Allowable Bending Stress, The Allowable Bending Stress given Plate Thickness formula is defined as the relationship between actual bearing pressure and the width and thickness of the plate. Allowable Bending Stress is denoted by F_b symbol.

How to evaluate Allowable Bending Stress given Plate Thickness using this online evaluator? To use this online evaluator for Allowable Bending Stress given Plate Thickness, enter Width of Plate (B), Distance from Beam Bottom to Web Fillet (k), Actual Bearing Pressure (f_p) & Minimum Plate Thickness (t) and hit the calculate button.

FAQs on Allowable Bending Stress given Plate Thickness

What is the formula to find Allowable Bending Stress given Plate Thickness?

The formula of Allowable Bending Stress given Plate Thickness is expressed as Allowable Bending Stress = ((((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure))/Minimum Plate Thickness)^2. Here is an example- 3.7E-5 = ((((1/2)*0.15-0.07)*sqrt(3*10000000))/0.016)^2.

How to calculate Allowable Bending Stress given Plate Thickness?

With Width of Plate (B), Distance from Beam Bottom to Web Fillet (k), Actual Bearing Pressure (f_p) & Minimum Plate Thickness (t) we can find Allowable Bending Stress given Plate Thickness using the formula - Allowable Bending Stress = ((((1/2)*Width of Plate-Distance from Beam Bottom to Web Fillet)*sqrt(3*Actual Bearing Pressure))/Minimum Plate Thickness)^2. This formula also uses Square Root (sqrt) function(s).

Can the Allowable Bending Stress given Plate Thickness be negative?

No, the Allowable Bending Stress given Plate Thickness, measured in Stress cannot be negative.

Which unit is used to measure Allowable Bending Stress given Plate Thickness?

Allowable Bending Stress given Plate Thickness is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Allowable Bending Stress given Plate Thickness can be measured.

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Allowable Bending Stress given Plate Thickness Formula

Allowable Bending Stress given Plate Thickness Example

Allowable Bending Stress given Plate Thickness Solution

Allowable Bending Stress given Plate Thickness Formula Elements

Other formulas in Bearing Plates category

How to Evaluate Allowable Bending Stress given Plate Thickness?

FAQs on Allowable Bending Stress given Plate Thickness

Variable Name